Hostname: page-component-7479d7b7d-8zxtt Total loading time: 0 Render date: 2024-07-14T02:03:50.967Z Has data issue: false hasContentIssue false
  • English
  • Français

The rotationally symmetric flow of a viscous fluid in the presence of an infinite rotating disk

Published online by Cambridge University Press:  28 March 2006

M. H. Rogers  and
G. N. Lance
M. H. Rogers
Affiliation:
Department of Mathematics, University of Bristol
G. N. Lance
Affiliation:
Computation Laboratory, University of Southampton Present address: Atomic Energy Establishment, Winfrith, Dorset.
Get access Rights & Permissions [Opens in a new window]

Abstract

The flow produced by an infinite rotating disk when the fluid at infinity is in a state of solid rotation is investigated numerically. When the fluid at infinity is rotating in the same sense as the disk, physically acceptable solutions exist in all cases. When the fluid at infinity is rotating in the opposite sense to that of the disk, the only physically acceptable solutions appear to be those in which there is a uniform suction present acting through the disk.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 7 , Issue 4 , April 1960 , pp. 617 - 631
Copyright
© 1960 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Batchelor, G. K. 1951 Quart. J. Mech. Appl. Math. 4, 29.
Bödewadt, U. T. 1940 Z. angew. Math. Mech. 20, 241.
Cochran, W. G. 1934 Proc. Camb. Phil. Soc. 30, 365.
Fettis, H. E. 1955 On the integration of a class of differential equations occuring in boundary layer and other hydrodynamic problems. Proc. 4th Midwest Conf. on Fluid Mech.
Von Kármán, T. 1921 Z. angew. Math. Mech. 1, 244.
Merson, R. H. 1958 On some developments in the study of processes for solving ordinary differential equations. (Unpublished.)
Moore, F. K. 1956 Article in Advances in Applied Mechanics, p. 159. Academic Press.
Schlichting, H. 1955 Boundary Layer Theory. Pergamon Press.
Squire, H. B. 1953 A.R.C. 16,021.
Stewartson, K. 1953 Proc. Camb. Phil. Soc. 49, 333.
Stewartson, K. 1957 Boundary Layer Research. University of Freiburg.
Stuart, J. T. 1954 Quart. J. Mech. Appl. Math. 7, 446.
Supplementary material: PDF

Rogers and Lance supplementary material

Supplementary Tables S1-S3

Download Rogers and Lance supplementary material(PDF)
PDF 766.1 KB